论文信息 - On the quadratic mapping z→z2-μ for complex μ and z: The fractal structure of its M set, and scaling - 字舞流文

On the quadratic mapping z→z2-μ for complex μ and z: The fractal structure of its M set, and scaling

[1] G. Julia. Mémoire sur l'itération des fonctions rationnelles , 1918 .

[2] P. Fatou,et al. Sur les équations fonctionnelles , 1920 .

[3] J. Walsh. Interpolation and Approximation by Rational Functions in the Complex Domain , 1935 .

[4] Robert M. May,et al. Simple mathematical models with very complicated dynamics , 1976, Nature.

[5] B. Mandelbrot. Fractal Geometry of Nature , 1984 .

[6] J. Eckmann,et al. Iterated maps on the interval as dynamical systems , 1980 .

[7] B. Mandelbrot. FRACTAL ASPECTS OF THE ITERATION OF z →Λz(1‐ z) FOR COMPLEX Λ AND z , 1980 .

[8] D. Ruelle. Repellers for real analytic maps , 1982, Ergodic Theory and Dynamical Systems.

[9] Alan Norton,et al. Generation and display of geometric fractals in 3-D , 1982, SIGGRAPH.